Properties

Label 192.2.s.a.35.15
Level $192$
Weight $2$
Character 192.35
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 35.15
Character \(\chi\) \(=\) 192.35
Dual form 192.2.s.a.11.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.216199 + 1.39759i) q^{2} +(-1.36876 + 1.06137i) q^{3} +(-1.90652 - 0.604316i) q^{4} +(-2.38253 - 1.59195i) q^{5} +(-1.18743 - 2.14243i) q^{6} +(0.537426 + 1.29746i) q^{7} +(1.25677 - 2.53387i) q^{8} +(0.746990 - 2.90551i) q^{9} +O(q^{10})\) \(q+(-0.216199 + 1.39759i) q^{2} +(-1.36876 + 1.06137i) q^{3} +(-1.90652 - 0.604316i) q^{4} +(-2.38253 - 1.59195i) q^{5} +(-1.18743 - 2.14243i) q^{6} +(0.537426 + 1.29746i) q^{7} +(1.25677 - 2.53387i) q^{8} +(0.746990 - 2.90551i) q^{9} +(2.74000 - 2.98562i) q^{10} +(-0.120905 - 0.607832i) q^{11} +(3.25096 - 1.19636i) q^{12} +(-2.88773 - 4.32179i) q^{13} +(-1.92951 + 0.470591i) q^{14} +(4.95075 - 0.349744i) q^{15} +(3.26960 + 2.30428i) q^{16} +(-5.60131 + 5.60131i) q^{17} +(3.89922 + 1.67216i) q^{18} +(-2.11420 - 3.16413i) q^{19} +(3.58028 + 4.47489i) q^{20} +(-2.11269 - 1.20550i) q^{21} +(0.875639 - 0.0375631i) q^{22} +(0.461255 - 1.11357i) q^{23} +(0.969160 + 4.80216i) q^{24} +(1.22871 + 2.96636i) q^{25} +(6.66442 - 3.10149i) q^{26} +(2.06138 + 4.76977i) q^{27} +(-0.240534 - 2.79840i) q^{28} +(-1.62645 - 0.323522i) q^{29} +(-0.581551 + 6.99474i) q^{30} -5.33703 q^{31} +(-3.92732 + 4.07138i) q^{32} +(0.810624 + 0.703648i) q^{33} +(-6.61733 - 9.03933i) q^{34} +(0.785066 - 3.94679i) q^{35} +(-3.18000 + 5.08799i) q^{36} +(-6.92002 - 4.62381i) q^{37} +(4.87925 - 2.27071i) q^{38} +(8.53962 + 2.85054i) q^{39} +(-7.02811 + 4.03630i) q^{40} +(-3.36197 - 1.39257i) q^{41} +(2.14156 - 2.69205i) q^{42} +(2.45301 + 12.3321i) q^{43} +(-0.136815 + 1.23191i) q^{44} +(-6.40517 + 5.73329i) q^{45} +(1.45659 + 0.885398i) q^{46} +(0.576826 + 0.576826i) q^{47} +(-6.92098 + 0.316264i) q^{48} +(3.55517 - 3.55517i) q^{49} +(-4.41140 + 1.07590i) q^{50} +(1.72177 - 13.6119i) q^{51} +(2.89377 + 9.98467i) q^{52} +(6.93876 - 1.38020i) q^{53} +(-7.11185 + 1.84974i) q^{54} +(-0.679580 + 1.64065i) q^{55} +(3.96302 + 0.268845i) q^{56} +(6.25214 + 2.08697i) q^{57} +(0.803789 - 2.20317i) q^{58} +(-1.57936 + 2.36368i) q^{59} +(-9.65005 - 2.32503i) q^{60} +(3.21857 + 0.640213i) q^{61} +(1.15386 - 7.45898i) q^{62} +(4.17124 - 0.592308i) q^{63} +(-4.84104 - 6.36901i) q^{64} +14.8939i q^{65} +(-1.15867 + 0.980791i) q^{66} +(-1.03306 + 5.19352i) q^{67} +(14.0639 - 7.29402i) q^{68} +(0.550561 + 2.01377i) q^{69} +(5.34627 + 1.95050i) q^{70} +(4.85279 - 2.01009i) q^{71} +(-6.42341 - 5.54435i) q^{72} +(2.50182 + 1.03629i) q^{73} +(7.95829 - 8.67168i) q^{74} +(-4.83020 - 2.75611i) q^{75} +(2.11863 + 7.31011i) q^{76} +(0.723660 - 0.483534i) q^{77} +(-5.83014 + 11.3186i) q^{78} +(-6.29584 - 6.29584i) q^{79} +(-4.12162 - 10.6951i) q^{80} +(-7.88401 - 4.34078i) q^{81} +(2.67310 - 4.39758i) q^{82} +(-10.0044 + 6.68475i) q^{83} +(3.29937 + 3.57504i) q^{84} +(22.2623 - 4.42825i) q^{85} +(-17.7656 + 0.762107i) q^{86} +(2.56960 - 1.28345i) q^{87} +(-1.69212 - 0.457548i) q^{88} +(-2.13413 + 0.883987i) q^{89} +(-6.62800 - 10.1913i) q^{90} +(4.05542 - 6.06936i) q^{91} +(-1.55234 + 1.84429i) q^{92} +(7.30510 - 5.66456i) q^{93} +(-0.930876 + 0.681457i) q^{94} +10.9043i q^{95} +(1.05430 - 9.74107i) q^{96} -1.28366i q^{97} +(4.20004 + 5.73730i) q^{98} +(-1.85638 - 0.102752i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} - 16q^{10} - 8q^{12} - 16q^{13} - 8q^{15} - 16q^{16} - 8q^{18} - 16q^{19} - 8q^{21} - 16q^{22} - 48q^{24} - 16q^{25} - 8q^{27} - 16q^{28} - 88q^{30} - 32q^{31} - 16q^{34} - 88q^{36} - 16q^{37} - 8q^{39} - 16q^{40} - 48q^{42} - 16q^{43} - 8q^{45} - 16q^{46} - 8q^{48} - 16q^{49} - 8q^{51} + 32q^{52} - 8q^{54} - 80q^{55} - 8q^{57} + 128q^{58} - 8q^{60} - 16q^{61} + 80q^{64} - 24q^{66} - 144q^{67} - 8q^{69} + 80q^{70} - 8q^{72} - 16q^{73} - 8q^{75} + 96q^{76} + 16q^{78} - 48q^{79} - 8q^{81} + 64q^{82} + 104q^{84} - 16q^{85} - 8q^{87} + 64q^{88} + 136q^{90} - 16q^{91} - 32q^{93} + 80q^{94} + 128q^{96} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{11}{16}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.216199 + 1.39759i −0.152876 + 0.988245i
\(3\) −1.36876 + 1.06137i −0.790252 + 0.612782i
\(4\) −1.90652 0.604316i −0.953258 0.302158i
\(5\) −2.38253 1.59195i −1.06550 0.711944i −0.106203 0.994345i \(-0.533869\pi\)
−0.959297 + 0.282401i \(0.908869\pi\)
\(6\) −1.18743 2.14243i −0.484768 0.874643i
\(7\) 0.537426 + 1.29746i 0.203128 + 0.490394i 0.992312 0.123763i \(-0.0394962\pi\)
−0.789184 + 0.614157i \(0.789496\pi\)
\(8\) 1.25677 2.53387i 0.444337 0.895860i
\(9\) 0.746990 2.90551i 0.248997 0.968504i
\(10\) 2.74000 2.98562i 0.866464 0.944135i
\(11\) −0.120905 0.607832i −0.0364543 0.183268i 0.958268 0.285871i \(-0.0922829\pi\)
−0.994722 + 0.102603i \(0.967283\pi\)
\(12\) 3.25096 1.19636i 0.938471 0.345358i
\(13\) −2.88773 4.32179i −0.800912 1.19865i −0.976782 0.214237i \(-0.931274\pi\)
0.175869 0.984413i \(-0.443726\pi\)
\(14\) −1.92951 + 0.470591i −0.515683 + 0.125771i
\(15\) 4.95075 0.349744i 1.27828 0.0903036i
\(16\) 3.26960 + 2.30428i 0.817401 + 0.576069i
\(17\) −5.60131 + 5.60131i −1.35852 + 1.35852i −0.482768 + 0.875748i \(0.660369\pi\)
−0.875748 + 0.482768i \(0.839631\pi\)
\(18\) 3.89922 + 1.67216i 0.919054 + 0.394131i
\(19\) −2.11420 3.16413i −0.485032 0.725901i 0.505554 0.862795i \(-0.331288\pi\)
−0.990586 + 0.136894i \(0.956288\pi\)
\(20\) 3.58028 + 4.47489i 0.800576 + 1.00062i
\(21\) −2.11269 1.20550i −0.461027 0.263062i
\(22\) 0.875639 0.0375631i 0.186687 0.00800849i
\(23\) 0.461255 1.11357i 0.0961783 0.232195i −0.868467 0.495747i \(-0.834894\pi\)
0.964645 + 0.263552i \(0.0848942\pi\)
\(24\) 0.969160 + 4.80216i 0.197829 + 0.980237i
\(25\) 1.22871 + 2.96636i 0.245741 + 0.593271i
\(26\) 6.66442 3.10149i 1.30700 0.608253i
\(27\) 2.06138 + 4.76977i 0.396712 + 0.917943i
\(28\) −0.240534 2.79840i −0.0454567 0.528849i
\(29\) −1.62645 0.323522i −0.302025 0.0600765i 0.0417515 0.999128i \(-0.486706\pi\)
−0.343776 + 0.939052i \(0.611706\pi\)
\(30\) −0.581551 + 6.99474i −0.106176 + 1.27706i
\(31\) −5.33703 −0.958559 −0.479280 0.877662i \(-0.659102\pi\)
−0.479280 + 0.877662i \(0.659102\pi\)
\(32\) −3.92732 + 4.07138i −0.694259 + 0.719726i
\(33\) 0.810624 + 0.703648i 0.141111 + 0.122489i
\(34\) −6.61733 9.03933i −1.13486 1.55023i
\(35\) 0.785066 3.94679i 0.132700 0.667130i
\(36\) −3.18000 + 5.08799i −0.529999 + 0.847998i
\(37\) −6.92002 4.62381i −1.13764 0.760149i −0.163604 0.986526i \(-0.552312\pi\)
−0.974040 + 0.226377i \(0.927312\pi\)
\(38\) 4.87925 2.27071i 0.791518 0.368357i
\(39\) 8.53962 + 2.85054i 1.36743 + 0.456451i
\(40\) −7.02811 + 4.03630i −1.11124 + 0.638195i
\(41\) −3.36197 1.39257i −0.525052 0.217484i 0.104383 0.994537i \(-0.466713\pi\)
−0.629434 + 0.777054i \(0.716713\pi\)
\(42\) 2.14156 2.69205i 0.330450 0.415392i
\(43\) 2.45301 + 12.3321i 0.374081 + 1.88063i 0.465872 + 0.884852i \(0.345741\pi\)
−0.0917918 + 0.995778i \(0.529259\pi\)
\(44\) −0.136815 + 1.23191i −0.0206256 + 0.185717i
\(45\) −6.40517 + 5.73329i −0.954826 + 0.854669i
\(46\) 1.45659 + 0.885398i 0.214762 + 0.130545i
\(47\) 0.576826 + 0.576826i 0.0841387 + 0.0841387i 0.747924 0.663785i \(-0.231051\pi\)
−0.663785 + 0.747924i \(0.731051\pi\)
\(48\) −6.92098 + 0.316264i −0.998958 + 0.0456488i
\(49\) 3.55517 3.55517i 0.507881 0.507881i
\(50\) −4.41140 + 1.07590i −0.623866 + 0.152155i
\(51\) 1.72177 13.6119i 0.241096 1.90604i
\(52\) 2.89377 + 9.98467i 0.401294 + 1.38462i
\(53\) 6.93876 1.38020i 0.953112 0.189586i 0.306043 0.952018i \(-0.400995\pi\)
0.647068 + 0.762432i \(0.275995\pi\)
\(54\) −7.11185 + 1.84974i −0.967801 + 0.251717i
\(55\) −0.679580 + 1.64065i −0.0916346 + 0.221225i
\(56\) 3.96302 + 0.268845i 0.529581 + 0.0359259i
\(57\) 6.25214 + 2.08697i 0.828116 + 0.276426i
\(58\) 0.803789 2.20317i 0.105543 0.289290i
\(59\) −1.57936 + 2.36368i −0.205615 + 0.307725i −0.919917 0.392113i \(-0.871744\pi\)
0.714302 + 0.699838i \(0.246744\pi\)
\(60\) −9.65005 2.32503i −1.24582 0.300160i
\(61\) 3.21857 + 0.640213i 0.412096 + 0.0819709i 0.396784 0.917912i \(-0.370126\pi\)
0.0153113 + 0.999883i \(0.495126\pi\)
\(62\) 1.15386 7.45898i 0.146541 0.947292i
\(63\) 4.17124 0.592308i 0.525527 0.0746237i
\(64\) −4.84104 6.36901i −0.605130 0.796127i
\(65\) 14.8939i 1.84737i
\(66\) −1.15867 + 0.980791i −0.142622 + 0.120727i
\(67\) −1.03306 + 5.19352i −0.126208 + 0.634490i 0.864956 + 0.501848i \(0.167346\pi\)
−0.991164 + 0.132642i \(0.957654\pi\)
\(68\) 14.0639 7.29402i 1.70550 0.884530i
\(69\) 0.550561 + 2.01377i 0.0662798 + 0.242429i
\(70\) 5.34627 + 1.95050i 0.639001 + 0.233129i
\(71\) 4.85279 2.01009i 0.575920 0.238554i −0.0756601 0.997134i \(-0.524106\pi\)
0.651580 + 0.758580i \(0.274106\pi\)
\(72\) −6.42341 5.54435i −0.757006 0.653408i
\(73\) 2.50182 + 1.03629i 0.292816 + 0.121288i 0.524256 0.851561i \(-0.324344\pi\)
−0.231440 + 0.972849i \(0.574344\pi\)
\(74\) 7.95829 8.67168i 0.925132 1.00806i
\(75\) −4.83020 2.75611i −0.557743 0.318248i
\(76\) 2.11863 + 7.31011i 0.243023 + 0.838527i
\(77\) 0.723660 0.483534i 0.0824687 0.0551038i
\(78\) −5.83014 + 11.3186i −0.660133 + 1.28158i
\(79\) −6.29584 6.29584i −0.708338 0.708338i 0.257848 0.966186i \(-0.416987\pi\)
−0.966186 + 0.257848i \(0.916987\pi\)
\(80\) −4.12162 10.6951i −0.460811 1.19574i
\(81\) −7.88401 4.34078i −0.876001 0.482309i
\(82\) 2.67310 4.39758i 0.295195 0.485632i
\(83\) −10.0044 + 6.68475i −1.09813 + 0.733747i −0.966272 0.257522i \(-0.917094\pi\)
−0.131857 + 0.991269i \(0.542094\pi\)
\(84\) 3.29937 + 3.57504i 0.359991 + 0.390069i
\(85\) 22.2623 4.42825i 2.41469 0.480311i
\(86\) −17.7656 + 0.762107i −1.91571 + 0.0821801i
\(87\) 2.56960 1.28345i 0.275490 0.137600i
\(88\) −1.69212 0.457548i −0.180381 0.0487748i
\(89\) −2.13413 + 0.883987i −0.226218 + 0.0937024i −0.492913 0.870078i \(-0.664068\pi\)
0.266696 + 0.963781i \(0.414068\pi\)
\(90\) −6.62800 10.1913i −0.698653 1.07426i
\(91\) 4.05542 6.06936i 0.425123 0.636242i
\(92\) −1.55234 + 1.84429i −0.161842 + 0.192281i
\(93\) 7.30510 5.66456i 0.757504 0.587388i
\(94\) −0.930876 + 0.681457i −0.0960125 + 0.0702869i
\(95\) 10.9043i 1.11876i
\(96\) 1.05430 9.74107i 0.107604 0.994194i
\(97\) 1.28366i 0.130336i −0.997874 0.0651682i \(-0.979242\pi\)
0.997874 0.0651682i \(-0.0207584\pi\)
\(98\) 4.20004 + 5.73730i 0.424269 + 0.579554i
\(99\) −1.85638 0.102752i −0.186573 0.0103270i
\(100\) −0.549929 6.39793i −0.0549929 0.639793i
\(101\) 9.06455 13.5661i 0.901956 1.34987i −0.0346173 0.999401i \(-0.511021\pi\)
0.936573 0.350472i \(-0.113979\pi\)
\(102\) 18.6516 + 5.34921i 1.84678 + 0.529651i
\(103\) 13.0224 5.39405i 1.28313 0.531492i 0.366203 0.930535i \(-0.380658\pi\)
0.916932 + 0.399043i \(0.130658\pi\)
\(104\) −14.5801 + 1.88563i −1.42970 + 0.184901i
\(105\) 3.11444 + 6.23545i 0.303938 + 0.608517i
\(106\) 0.428805 + 9.99594i 0.0416493 + 0.970891i
\(107\) 3.19732 0.635987i 0.309097 0.0614831i −0.0381047 0.999274i \(-0.512132\pi\)
0.347201 + 0.937791i \(0.387132\pi\)
\(108\) −1.04759 10.3394i −0.100805 0.994906i
\(109\) −9.42249 + 6.29591i −0.902511 + 0.603038i −0.917886 0.396843i \(-0.870106\pi\)
0.0153755 + 0.999882i \(0.495106\pi\)
\(110\) −2.14603 1.30448i −0.204616 0.124378i
\(111\) 14.3794 1.01583i 1.36483 0.0964180i
\(112\) −1.23254 + 5.48056i −0.116464 + 0.517864i
\(113\) −4.47338 4.47338i −0.420820 0.420820i 0.464666 0.885486i \(-0.346175\pi\)
−0.885486 + 0.464666i \(0.846175\pi\)
\(114\) −4.26844 + 8.28673i −0.399776 + 0.776123i
\(115\) −2.87170 + 1.91881i −0.267788 + 0.178930i
\(116\) 2.90535 + 1.59969i 0.269755 + 0.148528i
\(117\) −14.7141 + 5.16200i −1.36032 + 0.477227i
\(118\) −2.96200 2.71832i −0.272674 0.250242i
\(119\) −10.2778 4.25719i −0.942161 0.390256i
\(120\) 5.33577 12.9841i 0.487087 1.18528i
\(121\) 9.80783 4.06254i 0.891621 0.369322i
\(122\) −1.59061 + 4.35983i −0.144007 + 0.394720i
\(123\) 6.07976 1.66220i 0.548193 0.149875i
\(124\) 10.1751 + 3.22526i 0.913754 + 0.289636i
\(125\) −1.00022 + 5.02845i −0.0894624 + 0.449758i
\(126\) −0.0740163 + 5.95774i −0.00659390 + 0.530758i
\(127\) 4.93921i 0.438284i −0.975693 0.219142i \(-0.929674\pi\)
0.975693 0.219142i \(-0.0703258\pi\)
\(128\) 9.94790 5.38881i 0.879278 0.476308i
\(129\) −16.4465 14.2761i −1.44803 1.25694i
\(130\) −20.8156 3.22006i −1.82565 0.282418i
\(131\) −4.27091 0.849536i −0.373151 0.0742243i 0.00495247 0.999988i \(-0.498424\pi\)
−0.378103 + 0.925763i \(0.623424\pi\)
\(132\) −1.12024 1.83139i −0.0975044 0.159402i
\(133\) 2.96911 4.44358i 0.257454 0.385307i
\(134\) −7.03507 2.56663i −0.607737 0.221723i
\(135\) 2.68198 14.6457i 0.230828 1.26050i
\(136\) 7.15343 + 21.2326i 0.613402 + 1.82068i
\(137\) 4.77118 11.5186i 0.407629 0.984104i −0.578131 0.815944i \(-0.696218\pi\)
0.985760 0.168160i \(-0.0537824\pi\)
\(138\) −2.93345 + 0.334084i −0.249712 + 0.0284391i
\(139\) −19.9870 + 3.97565i −1.69527 + 0.337211i −0.945781 0.324804i \(-0.894702\pi\)
−0.749491 + 0.662014i \(0.769702\pi\)
\(140\) −3.88185 + 7.05020i −0.328076 + 0.595850i
\(141\) −1.40176 0.177309i −0.118049 0.0149321i
\(142\) 1.76011 + 7.21679i 0.147705 + 0.605620i
\(143\) −2.27778 + 2.27778i −0.190478 + 0.190478i
\(144\) 9.13747 7.77861i 0.761456 0.648217i
\(145\) 3.36004 + 3.36004i 0.279036 + 0.279036i
\(146\) −1.98920 + 3.27247i −0.164627 + 0.270832i
\(147\) −1.09281 + 8.63951i −0.0901338 + 0.712575i
\(148\) 10.3989 + 12.9972i 0.854782 + 1.06837i
\(149\) −0.770902 3.87559i −0.0631547 0.317500i 0.936275 0.351268i \(-0.114249\pi\)
−0.999430 + 0.0337676i \(0.989249\pi\)
\(150\) 4.89620 6.15477i 0.399773 0.502535i
\(151\) −5.87447 2.43328i −0.478057 0.198018i 0.130625 0.991432i \(-0.458302\pi\)
−0.608682 + 0.793414i \(0.708302\pi\)
\(152\) −10.6746 + 1.38053i −0.865823 + 0.111976i
\(153\) 12.0905 + 20.4588i 0.977463 + 1.65399i
\(154\) 0.519328 + 1.11592i 0.0418486 + 0.0899234i
\(155\) 12.7156 + 8.49631i 1.02134 + 0.682440i
\(156\) −14.5583 10.5952i −1.16560 0.848297i
\(157\) −3.77891 + 18.9979i −0.301590 + 1.51619i 0.471482 + 0.881876i \(0.343719\pi\)
−0.773072 + 0.634319i \(0.781281\pi\)
\(158\) 10.1602 7.43785i 0.808299 0.591724i
\(159\) −8.03256 + 9.25375i −0.637024 + 0.733870i
\(160\) 15.8384 3.44807i 1.25214 0.272594i
\(161\) 1.69270 0.133403
\(162\) 7.77115 10.0801i 0.610559 0.791971i
\(163\) −10.1639 2.02173i −0.796101 0.158354i −0.219750 0.975556i \(-0.570524\pi\)
−0.576351 + 0.817202i \(0.695524\pi\)
\(164\) 5.56810 + 4.68666i 0.434795 + 0.365967i
\(165\) −0.811158 2.96694i −0.0631485 0.230976i
\(166\) −7.17959 15.4273i −0.557244 1.19739i
\(167\) −1.92893 4.65685i −0.149265 0.360358i 0.831507 0.555514i \(-0.187479\pi\)
−0.980772 + 0.195157i \(0.937479\pi\)
\(168\) −5.70976 + 3.83825i −0.440518 + 0.296127i
\(169\) −5.36403 + 12.9499i −0.412618 + 0.996148i
\(170\) 1.37578 + 32.0709i 0.105517 + 2.45973i
\(171\) −10.7727 + 3.77927i −0.823810 + 0.289008i
\(172\) 2.77579 24.9938i 0.211652 1.90576i
\(173\) −9.14610 13.6881i −0.695365 1.04069i −0.996207 0.0870133i \(-0.972268\pi\)
0.300842 0.953674i \(-0.402732\pi\)
\(174\) 1.23819 + 3.86872i 0.0938666 + 0.293287i
\(175\) −3.18839 + 3.18839i −0.241020 + 0.241020i
\(176\) 1.00530 2.26597i 0.0757773 0.170804i
\(177\) −0.346977 4.91159i −0.0260804 0.369178i
\(178\) −0.774053 3.17376i −0.0580177 0.237883i
\(179\) 12.4972 + 18.7034i 0.934085 + 1.39796i 0.917343 + 0.398097i \(0.130329\pi\)
0.0167412 + 0.999860i \(0.494671\pi\)
\(180\) 15.6763 7.05987i 1.16844 0.526211i
\(181\) −1.10600 5.56026i −0.0822086 0.413291i −0.999873 0.0159344i \(-0.994928\pi\)
0.917664 0.397356i \(-0.130072\pi\)
\(182\) 7.60570 + 6.98000i 0.563772 + 0.517392i
\(183\) −5.08494 + 2.53980i −0.375890 + 0.187747i
\(184\) −2.24195 2.56826i −0.165279 0.189335i
\(185\) 9.12624 + 22.0327i 0.670975 + 1.61988i
\(186\) 6.33738 + 11.4342i 0.464679 + 0.838397i
\(187\) 4.08188 + 2.72742i 0.298496 + 0.199449i
\(188\) −0.751142 1.44831i −0.0547827 0.105629i
\(189\) −5.08076 + 5.23795i −0.369571 + 0.381005i
\(190\) −15.2398 2.35751i −1.10561 0.171032i
\(191\) −20.5615 −1.48778 −0.743890 0.668302i \(-0.767022\pi\)
−0.743890 + 0.668302i \(0.767022\pi\)
\(192\) 13.3861 + 3.57950i 0.966057 + 0.258328i
\(193\) 14.3332 1.03173 0.515863 0.856671i \(-0.327471\pi\)
0.515863 + 0.856671i \(0.327471\pi\)
\(194\) 1.79404 + 0.277527i 0.128804 + 0.0199253i
\(195\) −15.8080 20.3862i −1.13203 1.45988i
\(196\) −8.92643 + 4.62954i −0.637602 + 0.330681i
\(197\) −7.08147 4.73168i −0.504534 0.337119i 0.277116 0.960836i \(-0.410621\pi\)
−0.781649 + 0.623718i \(0.785621\pi\)
\(198\) 0.544953 2.57224i 0.0387281 0.182801i
\(199\) 6.76354 + 16.3286i 0.479455 + 1.15751i 0.959865 + 0.280462i \(0.0904877\pi\)
−0.480410 + 0.877044i \(0.659512\pi\)
\(200\) 9.06058 + 0.614654i 0.640680 + 0.0434626i
\(201\) −4.09824 8.20512i −0.289068 0.578745i
\(202\) 17.0000 + 15.6015i 1.19612 + 1.09772i
\(203\) −0.454341 2.28413i −0.0318885 0.160314i
\(204\) −11.5085 + 24.9108i −0.805753 + 1.74410i
\(205\) 5.79308 + 8.66995i 0.404606 + 0.605536i
\(206\) 4.72324 + 19.3662i 0.329084 + 1.34930i
\(207\) −2.89093 2.17201i −0.200934 0.150965i
\(208\) 0.516872 20.7847i 0.0358387 1.44116i
\(209\) −1.66764 + 1.66764i −0.115353 + 0.115353i
\(210\) −9.38794 + 3.00461i −0.647829 + 0.207338i
\(211\) −4.58238 6.85802i −0.315464 0.472126i 0.639523 0.768772i \(-0.279132\pi\)
−0.954987 + 0.296646i \(0.904132\pi\)
\(212\) −14.0629 1.56182i −0.965846 0.107266i
\(213\) −4.50884 + 7.90193i −0.308941 + 0.541431i
\(214\) 0.197590 + 4.60604i 0.0135070 + 0.314863i
\(215\) 13.7878 33.2867i 0.940320 2.27013i
\(216\) 14.6767 + 0.771259i 0.998622 + 0.0524775i
\(217\) −2.86826 6.92459i −0.194710 0.470072i
\(218\) −6.76196 14.5299i −0.457978 0.984092i
\(219\) −4.52426 + 1.23693i −0.305721 + 0.0835839i
\(220\) 2.28710 2.71725i 0.154196 0.183197i
\(221\) 40.3828 + 8.03263i 2.71644 + 0.540333i
\(222\) −1.68910 + 20.3161i −0.113365 + 1.36353i
\(223\) 2.21113 0.148068 0.0740340 0.997256i \(-0.476413\pi\)
0.0740340 + 0.997256i \(0.476413\pi\)
\(224\) −7.39310 2.90748i −0.493972 0.194264i
\(225\) 9.53662 1.35418i 0.635775 0.0902787i
\(226\) 7.21910 5.28481i 0.480207 0.351541i
\(227\) 3.26247 16.4015i 0.216538 1.08861i −0.707619 0.706594i \(-0.750231\pi\)
0.924157 0.382014i \(-0.124769\pi\)
\(228\) −10.6586 7.75712i −0.705884 0.513728i
\(229\) 4.44239 + 2.96831i 0.293562 + 0.196152i 0.693626 0.720336i \(-0.256012\pi\)
−0.400064 + 0.916487i \(0.631012\pi\)
\(230\) −2.06085 4.42831i −0.135888 0.291994i
\(231\) −0.477306 + 1.42991i −0.0314044 + 0.0940812i
\(232\) −2.86385 + 3.71464i −0.188021 + 0.243878i
\(233\) −2.12919 0.881941i −0.139488 0.0577779i 0.311847 0.950132i \(-0.399052\pi\)
−0.451336 + 0.892354i \(0.649052\pi\)
\(234\) −4.03318 21.6803i −0.263657 1.41729i
\(235\) −0.456023 2.29258i −0.0297477 0.149552i
\(236\) 4.43949 3.55196i 0.288986 0.231213i
\(237\) 15.2997 + 1.93526i 0.993822 + 0.125709i
\(238\) 8.17185 13.4437i 0.529702 0.871425i
\(239\) −4.50092 4.50092i −0.291141 0.291141i 0.546390 0.837531i \(-0.316002\pi\)
−0.837531 + 0.546390i \(0.816002\pi\)
\(240\) 16.9929 + 10.2644i 1.09689 + 0.662563i
\(241\) −14.7720 + 14.7720i −0.951550 + 0.951550i −0.998879 0.0473295i \(-0.984929\pi\)
0.0473295 + 0.998879i \(0.484929\pi\)
\(242\) 3.55731 + 14.5856i 0.228673 + 0.937601i
\(243\) 15.3985 2.42638i 0.987812 0.155652i
\(244\) −5.74936 3.16561i −0.368065 0.202657i
\(245\) −14.1300 + 2.81062i −0.902730 + 0.179564i
\(246\) 1.00863 + 8.85637i 0.0643081 + 0.564662i
\(247\) −7.56947 + 18.2743i −0.481634 + 1.16277i
\(248\) −6.70744 + 13.5234i −0.425923 + 0.858735i
\(249\) 6.59865 19.7682i 0.418173 1.25276i
\(250\) −6.81146 2.48504i −0.430795 0.157168i
\(251\) 9.31594 13.9423i 0.588017 0.880029i −0.411490 0.911414i \(-0.634992\pi\)
0.999507 + 0.0313846i \(0.00999167\pi\)
\(252\) −8.31048 1.39150i −0.523511 0.0876565i
\(253\) −0.732630 0.145729i −0.0460600 0.00916191i
\(254\) 6.90299 + 1.06785i 0.433132 + 0.0670031i
\(255\) −25.7717 + 29.6897i −1.61388 + 1.85924i
\(256\) 5.38062 + 15.0681i 0.336289 + 0.941759i
\(257\) 10.7540i 0.670815i −0.942073 0.335408i \(-0.891126\pi\)
0.942073 0.335408i \(-0.108874\pi\)
\(258\) 23.5079 19.8990i 1.46354 1.23886i
\(259\) 2.28021 11.4634i 0.141685 0.712301i
\(260\) 9.00064 28.3955i 0.558196 1.76102i
\(261\) −2.15494 + 4.48401i −0.133388 + 0.277554i
\(262\) 2.11067 5.78531i 0.130398 0.357417i
\(263\) −22.8844 + 9.47903i −1.41111 + 0.584502i −0.952611 0.304191i \(-0.901614\pi\)
−0.458502 + 0.888693i \(0.651614\pi\)
\(264\) 2.80173 1.16969i 0.172434 0.0719896i
\(265\) −18.7290 7.75781i −1.15051 0.476558i
\(266\) 5.56839 + 5.11029i 0.341420 + 0.313332i
\(267\) 1.98287 3.47507i 0.121350 0.212671i
\(268\) 5.10807 9.27724i 0.312025 0.566698i
\(269\) 10.9427 7.31170i 0.667190 0.445802i −0.175299 0.984515i \(-0.556089\pi\)
0.842489 + 0.538713i \(0.181089\pi\)
\(270\) 19.8889 + 6.91470i 1.21040 + 0.420815i
\(271\) −18.9225 18.9225i −1.14946 1.14946i −0.986659 0.162798i \(-0.947948\pi\)
−0.162798 0.986659i \(-0.552052\pi\)
\(272\) −31.2210 + 5.40710i −1.89305 + 0.327853i
\(273\) 0.890954 + 12.6118i 0.0539230 + 0.763299i
\(274\) 15.0668 + 9.15847i 0.910219 + 0.553283i
\(275\) 1.65449 1.10549i 0.0997694 0.0666638i
\(276\) 0.167297 4.17199i 0.0100701 0.251124i
\(277\) −1.09597 + 0.218002i −0.0658504 + 0.0130985i −0.227906 0.973683i \(-0.573188\pi\)
0.162055 + 0.986782i \(0.448188\pi\)
\(278\) −1.23517 28.7931i −0.0740803 1.72690i
\(279\) −3.98671 + 15.5068i −0.238678 + 0.928369i
\(280\) −9.01403 6.94949i −0.538691 0.415311i
\(281\) 2.85654 1.18322i 0.170407 0.0705848i −0.295849 0.955235i \(-0.595603\pi\)
0.466256 + 0.884650i \(0.345603\pi\)
\(282\) 0.550865 1.92075i 0.0328035 0.114379i
\(283\) 11.4526 17.1400i 0.680786 1.01887i −0.316736 0.948514i \(-0.602587\pi\)
0.997522 0.0703541i \(-0.0224129\pi\)
\(284\) −10.4667 + 0.899652i −0.621081 + 0.0533845i
\(285\) −11.5735 14.9254i −0.685557 0.884104i
\(286\) −2.69095 3.67586i −0.159119 0.217358i
\(287\) 5.11043i 0.301659i
\(288\) 8.89579 + 14.4522i 0.524189 + 0.851602i
\(289\) 45.7493i 2.69113i
\(290\) −5.42240 + 3.96952i −0.318414 + 0.233098i
\(291\) 1.36244 + 1.75702i 0.0798677 + 0.102999i
\(292\) −4.14351 3.48759i −0.242481 0.204096i
\(293\) −3.64271 + 5.45170i −0.212809 + 0.318492i −0.922482 0.386040i \(-0.873843\pi\)
0.709673 + 0.704531i \(0.248843\pi\)
\(294\) −11.8382 3.39516i −0.690420 0.198010i
\(295\) 7.52574 3.11726i 0.438166 0.181494i
\(296\) −20.4130 + 11.7234i −1.18648 + 0.681407i
\(297\) 2.64999 1.82966i 0.153768 0.106168i
\(298\) 5.58315 0.239506i 0.323423 0.0138742i
\(299\) −6.14459 + 1.22224i −0.355351 + 0.0706837i
\(300\) 7.54329 + 8.17354i 0.435512 + 0.471899i
\(301\) −14.6821 + 9.81028i −0.846264 + 0.565455i
\(302\) 4.67079 7.68402i 0.268774 0.442166i
\(303\) 1.99143 + 28.1895i 0.114405 + 1.61944i
\(304\) 0.378420 15.2172i 0.0217039 0.872764i
\(305\) −6.64915 6.64915i −0.380729 0.380729i
\(306\) −31.2070 + 12.4745i −1.78398 + 0.713117i
\(307\) 4.76365 3.18297i 0.271876 0.181662i −0.412157 0.911113i \(-0.635224\pi\)
0.684033 + 0.729451i \(0.260224\pi\)
\(308\) −1.67188 + 0.484546i −0.0952640 + 0.0276096i
\(309\) −12.0994 + 21.2047i −0.688311 + 1.20629i
\(310\) −14.6235 + 15.9343i −0.830558 + 0.905010i
\(311\) 11.4682 + 4.75027i 0.650300 + 0.269363i 0.683351 0.730090i \(-0.260522\pi\)
−0.0330501 + 0.999454i \(0.510522\pi\)
\(312\) 17.9553 18.0558i 1.01652 1.02221i
\(313\) −2.90249 + 1.20225i −0.164058 + 0.0679552i −0.463201 0.886253i \(-0.653299\pi\)
0.299143 + 0.954208i \(0.403299\pi\)
\(314\) −25.7342 9.38869i −1.45227 0.529834i
\(315\) −10.8810 5.22924i −0.613076 0.294634i
\(316\) 8.19844 + 15.8078i 0.461199 + 0.889258i
\(317\) −2.87336 + 14.4454i −0.161384 + 0.811332i 0.812266 + 0.583287i \(0.198234\pi\)
−0.973650 + 0.228046i \(0.926766\pi\)
\(318\) −11.1963 13.2269i −0.627858 0.741727i
\(319\) 1.02773i 0.0575416i
\(320\) 1.39474 + 22.8811i 0.0779681 + 1.27909i
\(321\) −3.70134 + 4.26405i −0.206589 + 0.237996i
\(322\) −0.365961 + 2.36570i −0.0203942 + 0.131835i
\(323\) 29.5656 + 5.88096i 1.64507 + 0.327225i
\(324\) 12.4078 + 13.0402i 0.689322 + 0.724455i
\(325\) 9.27181 13.8763i 0.514308 0.769716i
\(326\) 5.02299 13.7679i 0.278198 0.762534i
\(327\) 6.21481 18.6183i 0.343680 1.02959i
\(328\) −7.75385 + 6.76866i −0.428134 + 0.373737i
\(329\) −0.438408 + 1.05841i −0.0241702 + 0.0583520i
\(330\) 4.32194 0.492216i 0.237915 0.0270956i
\(331\) 31.4492 6.25563i 1.72860 0.343840i 0.772086 0.635518i \(-0.219213\pi\)
0.956517 + 0.291678i \(0.0942134\pi\)
\(332\) 23.1133 6.69874i 1.26851 0.367641i
\(333\) −18.6037 + 16.6523i −1.01948 + 0.912538i
\(334\) 6.92539 1.68904i 0.378941 0.0924204i
\(335\) 10.7291 10.7291i 0.586195 0.586195i
\(336\) −4.12985 8.80973i −0.225302 0.480610i
\(337\) 9.58298 + 9.58298i 0.522018 + 0.522018i 0.918181 0.396162i \(-0.129658\pi\)
−0.396162 + 0.918181i \(0.629658\pi\)
\(338\) −16.9390 10.2965i −0.921359 0.560055i
\(339\) 10.8709 + 1.37506i 0.590425 + 0.0746831i
\(340\) −45.1195 5.01094i −2.44695 0.271757i
\(341\) 0.645275 + 3.24402i 0.0349436 + 0.175673i
\(342\) −2.95282 15.8729i −0.159670 0.858309i
\(343\) 15.6056 + 6.46403i 0.842621 + 0.349025i
\(344\) 34.3309 + 9.28306i 1.85100 + 0.500509i
\(345\) 1.89410 5.67432i 0.101975 0.305495i
\(346\) 21.1077 9.82314i 1.13476 0.528095i
\(347\) 8.97159 + 5.99462i 0.481620 + 0.321808i 0.772570 0.634930i \(-0.218971\pi\)
−0.290949 + 0.956738i \(0.593971\pi\)
\(348\) −5.67458 + 0.894061i −0.304189 + 0.0479267i
\(349\) 3.99626 20.0905i 0.213915 1.07542i −0.713291 0.700868i \(-0.752796\pi\)
0.927205 0.374554i \(-0.122204\pi\)
\(350\) −3.76674 5.14539i −0.201341 0.275033i
\(351\) 14.6613 22.6827i 0.782561 1.21071i
\(352\) 2.94955 + 1.89490i 0.157211 + 0.100998i
\(353\) −14.2205 −0.756883 −0.378441 0.925625i \(-0.623540\pi\)
−0.378441 + 0.925625i \(0.623540\pi\)
\(354\) 6.93940 + 0.576950i 0.368825 + 0.0306645i
\(355\) −14.7619 2.93632i −0.783479 0.155844i
\(356\) 4.60296 0.395644i 0.243957 0.0209691i
\(357\) 18.5862 5.08145i 0.983686 0.268939i
\(358\) −28.8415 + 13.4223i −1.52432 + 0.709391i
\(359\) 9.43655 + 22.7818i 0.498042 + 1.20238i 0.950537 + 0.310612i \(0.100534\pi\)
−0.452495 + 0.891767i \(0.649466\pi\)
\(360\) 6.47760 + 23.4353i 0.341399 + 1.23515i
\(361\) 1.72912 4.17448i 0.0910066 0.219709i
\(362\) 8.01008 0.343616i 0.421000 0.0180601i
\(363\) −9.11269 + 15.9704i −0.478292 + 0.838227i
\(364\) −11.3995 + 9.12058i −0.597498 + 0.478048i
\(365\) −4.31093 6.45176i −0.225644 0.337701i
\(366\) −2.45023 7.65577i −0.128076 0.400173i
\(367\) −11.5194 + 11.5194i −0.601308 + 0.601308i −0.940660 0.339351i \(-0.889792\pi\)
0.339351 + 0.940660i \(0.389792\pi\)
\(368\) 4.07409 2.57807i 0.212377 0.134391i
\(369\) −6.55750 + 8.72801i −0.341370 + 0.454362i
\(370\) −32.7658 + 7.99129i −1.70341 + 0.415447i
\(371\) 5.51983 + 8.26101i 0.286575 + 0.428890i
\(372\) −17.3505 + 6.38499i −0.899580 + 0.331046i
\(373\) 0.893118 + 4.49001i 0.0462439 + 0.232484i 0.996994 0.0774734i \(-0.0246853\pi\)
−0.950751 + 0.309957i \(0.899685\pi\)
\(374\) −4.69432 + 5.11512i −0.242737 + 0.264497i
\(375\) −3.96798 7.94432i −0.204906 0.410243i
\(376\) 2.18654 0.736665i 0.112762 0.0379906i
\(377\) 3.29857 + 7.96344i 0.169885 + 0.410138i
\(378\) −6.22205 8.23326i −0.320028 0.423473i
\(379\) 5.15597 + 3.44511i 0.264845 + 0.176963i 0.680901 0.732375i \(-0.261588\pi\)
−0.416057 + 0.909339i \(0.636588\pi\)
\(380\) 6.58967 20.7893i 0.338043 1.06647i
\(381\) 5.24233 + 6.76058i 0.268573 + 0.346355i
\(382\) 4.44539 28.7366i 0.227446 1.47029i
\(383\) 15.5064 0.792339 0.396169 0.918177i \(-0.370339\pi\)
0.396169 + 0.918177i \(0.370339\pi\)
\(384\) −7.89673 + 17.9344i −0.402978 + 0.915209i
\(385\) −2.49390 −0.127101
\(386\) −3.09883 + 20.0319i −0.157726 + 1.01960i
\(387\) 37.6635 + 2.08471i 1.91454 + 0.105972i
\(388\) −0.775739 + 2.44733i −0.0393822 + 0.124244i
\(389\) 7.84991 + 5.24515i 0.398006 + 0.265939i 0.738426 0.674334i \(-0.235569\pi\)
−0.340420 + 0.940274i \(0.610569\pi\)
\(390\) 31.9092 17.6856i 1.61578 0.895544i
\(391\) 3.65380 + 8.82106i 0.184781 + 0.446100i
\(392\) −4.54031 13.4764i −0.229320 0.680661i
\(393\) 6.74750 3.37020i 0.340366 0.170004i
\(394\) 8.14396 8.87400i 0.410287 0.447066i
\(395\) 4.97733 + 25.0227i 0.250437 + 1.25903i
\(396\) 3.47712 + 1.31774i 0.174732 + 0.0662188i
\(397\) 4.18431 + 6.26227i 0.210005 + 0.314294i 0.921487 0.388410i \(-0.126976\pi\)
−0.711482 + 0.702704i \(0.751976\pi\)
\(398\) −24.2830 + 5.92242i −1.21720 + 0.296864i
\(399\) 0.652297 + 9.23350i 0.0326557 + 0.462253i
\(400\) −2.81793 + 12.5301i −0.140896 + 0.626504i
\(401\) 15.9010 15.9010i 0.794059 0.794059i −0.188092 0.982151i \(-0.560230\pi\)
0.982151 + 0.188092i \(0.0602303\pi\)
\(402\) 12.3534 3.95372i 0.616133 0.197194i
\(403\) 15.4119 + 23.0656i 0.767722 + 1.14898i
\(404\) −25.4799 + 20.3860i −1.26767 + 1.01424i
\(405\) 11.8736 + 22.8930i 0.590002 + 1.13756i
\(406\) 3.29050 0.141156i 0.163305 0.00700545i
\(407\) −1.97383 + 4.76525i −0.0978391 + 0.236204i
\(408\) −32.3269 21.4698i −1.60042 1.06291i
\(409\) −5.30198 12.8001i −0.262166 0.632925i 0.736906 0.675995i \(-0.236286\pi\)
−0.999072 + 0.0430702i \(0.986286\pi\)
\(410\) −13.3695 + 6.22191i −0.660273 + 0.307278i
\(411\) 5.69495 + 20.8302i 0.280911 + 1.02748i
\(412\) −28.0871 + 2.41420i −1.38375 + 0.118939i
\(413\) −3.91557 0.778855i −0.192673 0.0383250i
\(414\) 3.66059 3.57075i 0.179908 0.175493i
\(415\) 34.4777 1.69244
\(416\) 28.9367 + 5.21601i 1.41874 + 0.255736i
\(417\) 23.1377 26.6553i 1.13306 1.30531i
\(418\) −1.97013 2.69122i −0.0963624 0.131632i
\(419\) 3.19014 16.0379i 0.155849 0.783505i −0.821225 0.570604i \(-0.806709\pi\)
0.977074 0.212900i \(-0.0682910\pi\)
\(420\) −2.16955 13.7701i −0.105863 0.671911i
\(421\) −24.5853 16.4274i −1.19821 0.800620i −0.213866 0.976863i \(-0.568606\pi\)
−0.984347 + 0.176243i \(0.943606\pi\)
\(422\) 10.5754 4.92159i 0.514803 0.239579i
\(423\) 2.10686 1.24509i 0.102439 0.0605384i
\(424\) 5.22318 19.3165i 0.253660 0.938094i
\(425\) −23.4978 9.73312i −1.13981 0.472126i
\(426\) −10.0688 8.00990i −0.487837 0.388081i
\(427\) 0.899091 + 4.52004i 0.0435101 + 0.218740i
\(428\) −6.48008 0.719674i −0.313226 0.0347868i
\(429\) 0.700161 5.53530i 0.0338041 0.267247i
\(430\) 43.5402 + 26.4663i 2.09970 + 1.27632i
\(431\) −24.0896 24.0896i −1.16036 1.16036i −0.984398 0.175959i \(-0.943698\pi\)
−0.175959 0.984398i \(-0.556302\pi\)
\(432\) −4.25099 + 20.3452i −0.204526 + 0.978861i
\(433\) −11.9793 + 11.9793i −0.575689 + 0.575689i −0.933712 0.358024i \(-0.883451\pi\)
0.358024 + 0.933712i \(0.383451\pi\)
\(434\) 10.2979 2.51156i 0.494313 0.120559i
\(435\) −8.16532 1.03283i −0.391497 0.0495206i
\(436\) 21.7688 6.30908i 1.04254 0.302150i
\(437\) −4.49866 + 0.894839i −0.215200 + 0.0428060i
\(438\) −0.750576 6.59049i −0.0358639 0.314906i
\(439\) −0.214982 + 0.519012i −0.0102605 + 0.0247711i −0.928927 0.370263i \(-0.879267\pi\)
0.918666 + 0.395035i \(0.129267\pi\)
\(440\) 3.30313 + 3.78390i 0.157470 + 0.180390i
\(441\) −7.67392 12.9853i −0.365425 0.618346i
\(442\) −19.9570 + 54.7019i −0.949260 + 2.60190i
\(443\) −9.52397 + 14.2536i −0.452497 + 0.677210i −0.985649 0.168810i \(-0.946008\pi\)
0.533151 + 0.846020i \(0.321008\pi\)
\(444\) −28.0284 6.75300i −1.33017 0.320483i
\(445\) 6.49190 + 1.29132i 0.307746 + 0.0612144i
\(446\) −0.478044 + 3.09025i −0.0226361 + 0.146328i
\(447\) 5.16860 + 4.48652i 0.244467 + 0.212205i
\(448\) 5.66184 9.70393i 0.267497 0.458468i
\(449\) 18.2084i 0.859309i 0.902993 + 0.429654i \(0.141365\pi\)
−0.902993 + 0.429654i \(0.858635\pi\)
\(450\) −0.169222 + 13.6211i −0.00797720 + 0.642103i
\(451\) −0.439971 + 2.21188i −0.0207174 + 0.104153i
\(452\) 5.82524 + 11.2319i 0.273996 + 0.528305i
\(453\) 10.6233 2.90441i 0.499128 0.136461i
\(454\) 22.2173 + 8.10559i 1.04271 + 0.380414i
\(455\) −19.3243 + 8.00438i −0.905937 + 0.375251i
\(456\) 13.1457 13.2193i 0.615602 0.619050i
\(457\) −16.1392 6.68507i −0.754960 0.312715i −0.0281962 0.999602i \(-0.508976\pi\)
−0.726763 + 0.686888i \(0.758976\pi\)
\(458\) −5.10892 + 5.56690i −0.238724 + 0.260124i
\(459\) −38.2633 15.1706i −1.78598 0.708101i
\(460\) 6.63451 1.92283i 0.309336 0.0896522i
\(461\) −18.8867 + 12.6197i −0.879639 + 0.587756i −0.911300 0.411742i \(-0.864920\pi\)
0.0316608 + 0.999499i \(0.489920\pi\)
\(462\) −1.89524 0.976224i −0.0881744 0.0454181i
\(463\) −3.34226 3.34226i −0.155328 0.155328i 0.625165 0.780493i \(-0.285032\pi\)
−0.780493 + 0.625165i \(0.785032\pi\)
\(464\) −4.57238 4.80559i −0.212267 0.223094i
\(465\) −26.4223 + 1.86660i −1.22531 + 0.0865613i
\(466\) 1.69292 2.78507i 0.0784231 0.129016i
\(467\) −19.3545 + 12.9323i −0.895619 + 0.598434i −0.915920 0.401360i \(-0.868537\pi\)
0.0203012 + 0.999794i \(0.493537\pi\)
\(468\) 31.1722 0.949449i 1.44094 0.0438883i
\(469\) −7.29358 + 1.45078i −0.336786 + 0.0669910i
\(470\) 3.30269 0.141678i 0.152342 0.00653514i
\(471\) −14.9913 30.0143i −0.690764 1.38298i
\(472\) 4.00437 + 6.97251i 0.184316 + 0.320936i
\(473\) 7.19927 2.98203i 0.331023 0.137114i
\(474\) −6.01249 + 20.9643i −0.276163 + 0.962922i
\(475\) 6.78821 10.1593i 0.311464 0.466139i
\(476\) 17.0220 + 14.3274i 0.780203 + 0.656696i
\(477\) 1.17298 21.1916i 0.0537070 0.970299i
\(478\) 7.26354 5.31735i 0.332227 0.243210i
\(479\) 19.7669i 0.903173i 0.892227 + 0.451587i \(0.149142\pi\)
−0.892227 + 0.451587i \(0.850858\pi\)
\(480\) −18.0193 + 21.5300i −0.822463 + 0.982704i
\(481\) 43.2592i 1.97245i
\(482\) −17.4515 23.8389i −0.794896 1.08583i
\(483\) −2.31690 + 1.79658i −0.105422 + 0.0817472i
\(484\) −21.1538 + 1.81826i −0.961538 + 0.0826482i
\(485\) −2.04353 + 3.05837i −0.0927921 + 0.138873i
\(486\) 0.0619466 + 22.0453i 0.00280995 + 0.999996i
\(487\) −26.1071 + 10.8139i −1.18303 + 0.490026i −0.885478 0.464681i \(-0.846169\pi\)
−0.297549 + 0.954707i \(0.596169\pi\)
\(488\) 5.66724 7.35085i 0.256544 0.332757i
\(489\) 16.0578 8.02043i 0.726157 0.362696i
\(490\) −0.873212 20.3556i −0.0394477 0.919570i
\(491\) 35.7627 7.11364i 1.61395 0.321034i 0.696092 0.717952i \(-0.254920\pi\)
0.917854 + 0.396918i \(0.129920\pi\)
\(492\) −12.5956 0.505088i −0.567856 0.0227711i
\(493\) 10.9224 7.29812i 0.491921 0.328691i
\(494\) −23.9035 14.5299i −1.07547 0.653731i
\(495\) 4.25930 + 3.20008i 0.191441 + 0.143833i
\(496\) −17.4500 12.2980i −0.783527 0.552196i
\(497\) 5.21603 + 5.21603i 0.233971 + 0.233971i
\(498\) 26.2012 + 13.4961i 1.17410 + 0.604774i
\(499\) −20.1348 + 13.4536i −0.901357 + 0.602268i −0.917558 0.397601i \(-0.869843\pi\)
0.0162011 + 0.999869i \(0.494843\pi\)
\(500\) 4.94571 8.98236i 0.221179 0.401704i
\(501\) 7.58287 + 4.32678i 0.338778 + 0.193306i
\(502\) 17.4715 + 16.0342i 0.779791 + 0.715640i
\(503\) −39.2007 16.2374i −1.74787 0.723992i −0.998055 0.0623467i \(-0.980142\pi\)
−0.749817 0.661645i \(-0.769858\pi\)
\(504\) 3.74147 11.3138i 0.166658 0.503957i
\(505\) −43.1931 + 17.8912i −1.92207 + 0.796146i
\(506\) 0.362064 0.992410i 0.0160957 0.0441180i
\(507\) −6.40259 23.4185i −0.284349 1.04005i
\(508\) −2.98484 + 9.41668i −0.132431 + 0.417798i
\(509\) −0.270782 + 1.36131i −0.0120022 + 0.0603392i −0.986322 0.164828i \(-0.947293\pi\)
0.974320 + 0.225168i \(0.0722930\pi\)
\(510\) −35.9222 42.4371i −1.59066 1.87915i
\(511\) 3.80294i 0.168232i
\(512\) −22.2224 + 4.26218i −0.982099 + 0.188364i
\(513\) 10.7340 16.6067i 0.473918 0.733205i
\(514\) 15.0297 + 2.32500i 0.662930 + 0.102552i
\(515\) −39.6133 7.87958i −1.74557 0.347216i
\(516\) 22.7282 + 37.1565i 1.00055 + 1.63573i
\(517\) 0.280872 0.420354i 0.0123527 0.0184872i
\(518\) 15.5282 + 5.66518i 0.682268 + 0.248914i
\(519\) 27.0469 + 9.02830i 1.18723 + 0.396298i
\(520\) 37.7394 + 18.7183i 1.65498 + 0.820852i
\(521\) −0.000817905 0.00197460i −3.58331e−5 8.65086e-5i −0.923897 0.382640i \(-0.875015\pi\)
0.923862 + 0.382727i \(0.125015\pi\)
\(522\) −5.80092 3.98117i −0.253899 0.174251i
\(523\) 29.7091 5.90951i 1.29909 0.258405i 0.503370 0.864071i \(-0.332093\pi\)
0.795719 + 0.605666i \(0.207093\pi\)
\(524\) 7.62916 + 4.20063i 0.333281 + 0.183505i
\(525\) 0.980072 7.74820i 0.0427738 0.338159i
\(526\) −8.30021 34.0324i −0.361906 1.48388i
\(527\) 29.8944 29.8944i 1.30222 1.30222i
\(528\) 1.02902 + 4.16855i 0.0447823 + 0.181413i
\(529\) 15.2362 + 15.2362i 0.662443 + 0.662443i
\(530\) 14.8914 24.4982i 0.646843 1.06414i
\(531\) 5.68794 + 6.35450i 0.246835 + 0.275762i
\(532\) −8.34598 + 6.67748i −0.361844 + 0.289505i
\(533\) 3.69005 + 18.5511i 0.159834 + 0.803539i
\(534\) 4.42802 + 3.52255i 0.191619 + 0.152436i
\(535\) −8.63017 3.57473i −0.373115 0.154549i
\(536\) 11.8614 + 9.14472i 0.512335 + 0.394992i
\(537\) −36.9568 12.3362i −1.59480 0.532348i
\(538\) 7.85294 + 16.8742i 0.338564 + 0.727500i
\(539\) −2.59078 1.73111i −0.111593 0.0745640i
\(540\) −13.9639 + 26.3016i −0.600910 + 1.13184i
\(541\) −0.487302 + 2.44983i −0.0209508 + 0.105327i −0.989846 0.142146i \(-0.954600\pi\)
0.968895 + 0.247472i \(0.0795999\pi\)
\(542\) 30.5369 22.3548i 1.31167 0.960222i
\(543\) 7.41534 + 6.43676i 0.318223 + 0.276228i
\(544\) −0.806941 44.8032i −0.0345973 1.92092i
\(545\) 32.4721 1.39095
\(546\) −17.8187 1.48147i −0.762570 0.0634010i
\(547\) 9.87822 + 1.96490i 0.422362 + 0.0840131i 0.401695 0.915773i \(-0.368421\pi\)
0.0206668 + 0.999786i \(0.493421\pi\)
\(548\) −16.0572 + 19.0772i −0.685930 + 0.814936i
\(549\) 4.26439 8.87337i 0.182000 0.378706i
\(550\) 1.18733 + 2.55130i 0.0506278 + 0.108788i
\(551\) 2.41499 + 5.83030i 0.102882 + 0.248379i
\(552\) 5.79456 + 1.13579i 0.246633 + 0.0483426i
\(553\) 4.78506 11.5522i 0.203481 0.491248i
\(554\) −0.0677294 1.57885i −0.00287755 0.0670788i
\(555\) −35.8764 20.4711i −1.52287 0.868949i
\(556\) 40.5080 + 4.49880i 1.71792 + 0.190792i
\(557\) −22.0015 32.9276i −0.932235 1.39519i −0.918560 0.395282i \(-0.870647\pi\)
−0.0136752 0.999906i \(-0.504353\pi\)
\(558\) −20.8103 8.92435i −0.880968 0.377798i
\(559\) 46.2132 46.2132i 1.95461 1.95461i
\(560\) 11.6614 11.0954i 0.492782 0.468868i
\(561\) −8.48190 + 0.599201i −0.358106 + 0.0252983i
\(562\) 1.03607 + 4.24808i 0.0437040 + 0.179195i
\(563\) −10.2428 15.3295i −0.431684 0.646060i 0.550313 0.834959i \(-0.314508\pi\)
−0.981997 + 0.188898i \(0.939508\pi\)
\(564\) 2.56533 + 1.18515i 0.108020 + 0.0499037i
\(565\) 3.53654 + 17.7794i 0.148783 + 0.747984i
\(566\) 21.4787 + 19.7117i 0.902815 + 0.828544i
\(567\) 1.39492 12.5620i 0.0585810 0.527556i
\(568\) 1.00554 14.8226i 0.0421915 0.621942i
\(569\) 2.19064 + 5.28866i 0.0918362 + 0.221712i 0.963123 0.269062i \(-0.0867138\pi\)
−0.871287 + 0.490775i \(0.836714\pi\)
\(570\) 23.3618 12.9482i 0.978517 0.542341i
\(571\) −16.3605 10.9317i −0.684666 0.457479i 0.163964 0.986466i \(-0.447572\pi\)
−0.848630 + 0.528987i \(0.822572\pi\)
\(572\) 5.71913 2.96613i 0.239129 0.124020i
\(573\) 28.1437 21.8234i 1.17572 0.911685i
\(574\) 7.14229 + 1.10487i 0.298113 + 0.0461165i
\(575\) 3.86999 0.161390
\(576\) −22.1215 + 9.30812i −0.921727 + 0.387838i
\(577\) −18.3390 −0.763464 −0.381732 0.924273i \(-0.624672\pi\)
−0.381732 + 0.924273i \(0.624672\pi\)
\(578\) 63.9387 + 9.89096i 2.65950 + 0.411410i
\(579\) −19.6187 + 15.2128i −0.815324 + 0.632223i
\(580\) −4.37544 8.43650i −0.181680 0.350306i
\(581\) −14.0498 9.38781i −0.582886 0.389472i
\(582\) −2.75016 + 1.52427i −0.113998 + 0.0631829i
\(583\) −1.67786 4.05072i −0.0694900 0.167764i
\(584\) 5.77004 5.03691i 0.238766 0.208429i
\(585\) 43.2745 + 11.1256i 1.78918 + 0.459988i
\(586\) −6.83169 6.26967i −0.282214 0.258998i
\(587\) −4.58738 23.0623i −0.189342 0.951884i −0.952236 0.305362i \(-0.901223\pi\)
0.762895 0.646522i \(-0.223777\pi\)
\(588\) 7.30446 15.8110i 0.301231 0.652033i
\(589\) 11.2836 + 16.8871i 0.464932 + 0.695819i
\(590\) 2.72960 + 11.1919i 0.112376 + 0.460761i
\(591\) 14.7149 1.03953i 0.605289 0.0427604i
\(592\) −11.9712 31.0636i −0.492013 1.27671i
\(593\) −14.6278 + 14.6278i −0.600692 + 0.600692i −0.940496 0.339804i \(-0.889639\pi\)
0.339804 + 0.940496i \(0.389639\pi\)
\(594\) 1.98419 + 4.09917i 0.0814122 + 0.168191i
\(595\) 17.7098 + 26.5046i 0.726031 + 1.08658i
\(596\) −0.872342 + 7.85473i −0.0357325 + 0.321742i
\(597\) −26.5883 15.1713i −1.08819 0.620920i
\(598\) −0.379727 8.85186i −0.0155282 0.361980i
\(599\) −10.0110 + 24.1688i −0.409040 + 0.987510i 0.576351 + 0.817202i \(0.304476\pi\)
−0.985391 + 0.170308i \(0.945524\pi\)
\(600\) −13.0541 + 8.77531i −0.532932 + 0.358251i
\(601\) 2.11878 + 5.11519i 0.0864268 + 0.208653i 0.961184 0.275909i \(-0.0889790\pi\)
−0.874757 + 0.484562i \(0.838979\pi\)
\(602\) −10.5365 22.6406i −0.429435 0.922761i
\(603\) 14.3182 + 6.88107i 0.583081 + 0.280219i
\(604\) 9.72929 + 8.18913i 0.395879 + 0.333211i
\(605\) −29.8348 5.93451i −1.21296 0.241272i
\(606\) −39.8278 3.31133i −1.61790 0.134514i
\(607\) −31.0218 −1.25914 −0.629569 0.776945i \(-0.716768\pi\)
−0.629569 + 0.776945i \(0.716768\pi\)
\(608\) 21.1855 + 3.81882i 0.859187 + 0.154873i
\(609\) 3.04619 + 2.64419i 0.123438 + 0.107148i
\(610\) 10.7303 7.85524i 0.434458 0.318049i
\(611\) 0.827205 4.15864i 0.0334651 0.168241i
\(612\) −10.6872 46.3115i −0.432006 1.87203i
\(613\) 6.48447 + 4.33279i 0.261905 + 0.175000i 0.679589 0.733593i \(-0.262158\pi\)
−0.417684 + 0.908592i \(0.637158\pi\)
\(614\) 3.41859 + 7.34578i 0.137963 + 0.296452i
\(615\) −17.1313 5.71846i −0.690802 0.230591i
\(616\) −0.315738 2.44136i −0.0127214 0.0983651i
\(617\) −22.1792 9.18693i −0.892901 0.369852i −0.111415 0.993774i \(-0.535538\pi\)
−0.781486 + 0.623922i \(0.785538\pi\)
\(618\) −27.0196 21.4945i −1.08689 0.864634i
\(619\) −0.814394 4.09424i −0.0327333 0.164561i 0.960961 0.276683i \(-0.0892353\pi\)
−0.993694 + 0.112122i \(0.964235\pi\)
\(620\) −19.1081 23.8826i −0.767400 0.959149i
\(621\) 6.26228 0.0954000i 0.251297 0.00382827i
\(622\) −9.11834 + 15.0008i −0.365612 + 0.601477i
\(623\) −2.29388 2.29388i −0.0919022 0.0919022i
\(624\) 21.3528 + 28.9978i 0.854794 + 1.16084i
\(625\) 21.7399 21.7399i 0.869595 0.869595i
\(626\) −1.05274 4.31642i −0.0420758 0.172519i
\(627\) 0.512611 4.05258i 0.0204717 0.161844i
\(628\) 18.6853 33.9361i 0.745623 1.35420i
\(629\) 64.6605 12.8618i 2.57818 0.512832i
\(630\) 9.66080 14.0767i 0.384895 0.560827i
\(631\) 9.56784 23.0988i 0.380890 0.919549i −0.610904 0.791704i \(-0.709194\pi\)
0.991794 0.127845i \(-0.0408060\pi\)
\(632\) −23.8653 + 8.04043i −0.949312 + 0.319831i
\(633\) 13.5511 + 4.52336i 0.538607 + 0.179788i
\(634\) −19.5675 7.13886i −0.777124 0.283520i
\(635\) −7.86300 + 11.7678i −0.312034 + 0.466991i
\(636\) 20.9064 12.7882i 0.828993 0.507086i
\(637\) −25.6311 5.09834i −1.01554 0.202004i
\(638\) −1.43634 0.222194i −0.0568652 0.00879673i
\(639\) −2.21536 15.6014i −0.0876383 0.617180i
\(640\) −32.2799 2.99760i −1.27598 0.118491i
\(641\) 12.9118i 0.509985i −0.966943 0.254992i \(-0.917927\pi\)
0.966943 0.254992i \(-0.0820730\pi\)
\(642\) −5.15917 6.09484i −0.203616 0.240544i
\(643\) −2.66723 + 13.4091i −0.105185 + 0.528802i 0.891882 + 0.452269i \(0.149385\pi\)
−0.997067 + 0.0765335i \(0.975615\pi\)
\(644\) −3.22716 1.02293i −0.127168 0.0403089i
\(645\) 16.4573 + 60.1953i 0.648007 + 2.37019i
\(646\) −14.6112 + 40.0491i −0.574871 + 1.57571i
\(647\) −4.76274 + 1.97279i −0.187242 + 0.0775584i −0.474335 0.880345i \(-0.657311\pi\)
0.287092 + 0.957903i \(0.407311\pi\)
\(648\) −20.9074 + 14.5217i −0.821320 + 0.570467i
\(649\) 1.62767 + 0.674204i 0.0638917 + 0.0264648i
\(650\) 17.3887 + 15.9582i 0.682043 + 0.625933i
\(651\) 11.2755 + 6.43380i 0.441922 + 0.252160i
\(652\) 18.1559 + 9.99670i 0.711041 + 0.391501i
\(653\) 14.6461 9.78621i 0.573146 0.382964i −0.234956 0.972006i \(-0.575495\pi\)
0.808102 + 0.589042i \(0.200495\pi\)
\(654\) 24.6771 + 12.7110i 0.964952 + 0.497041i
\(655\) 8.82313 + 8.82313i 0.344748 + 0.344748i
\(656\) −7.78344 12.3001i −0.303892 0.480237i
\(657\) 4.87978 6.49497i 0.190378 0.253393i
\(658\) −1.38444 0.841542i −0.0539711 0.0328067i
\(659\) 1.74432 1.16552i 0.0679491 0.0454021i −0.521132 0.853476i \(-0.674490\pi\)
0.589081 + 0.808074i \(0.299490\pi\)
\(660\) −0.246484 + 6.14671i −0.00959439 + 0.239260i
\(661\) −7.91442 + 1.57428i −0.307835 + 0.0612323i −0.346591 0.938016i \(-0.612661\pi\)
0.0387553 + 0.999249i \(0.487661\pi\)
\(662\) 1.94351 + 45.3055i 0.0755368 + 1.76085i
\(663\) −63.7998 + 31.8663i −2.47778 + 1.23758i
\(664\) 4.36501 + 33.7512i 0.169395 + 1.30980i
\(665\) −14.1480 + 5.86028i −0.548634 + 0.227252i
\(666\) −19.2509 29.6006i −0.745958 1.14700i
\(667\) −1.11047 + 1.66194i −0.0429977 + 0.0643506i
\(668\) 0.863326 + 10.0440i 0.0334031 + 0.388615i
\(669\) −3.02650 + 2.34682i −0.117011 + 0.0907335i
\(670\) 12.6753 + 17.3146i 0.489690 + 0.668920i
\(671\) 2.03375i 0.0785122i
\(672\) 13.2053 3.86718i 0.509404 0.149180i
\(673\) 13.4546i 0.518636i 0.965792 + 0.259318i \(0.0834978\pi\)
−0.965792 + 0.259318i \(0.916502\pi\)
\(674\) −15.4649 + 11.3212i −0.595686 + 0.436078i
\(675\) −11.6160 + 11.9754i −0.447101 + 0.460934i
\(676\) 18.0525 21.4477i 0.694325 0.824910i
\(677\) −20.7779 + 31.0963i −0.798558 + 1.19513i 0.178873 + 0.983872i \(0.442755\pi\)
−0.977431 + 0.211254i \(0.932245\pi\)
\(678\) −4.27205 + 14.8958i −0.164067 + 0.572068i
\(679\) 1.66550 0.689874i 0.0639162 0.0264749i
\(680\) 16.7580 61.9752i 0.642642 2.37664i
\(681\) 12.9426 + 25.9124i 0.495960 + 0.992965i
\(682\) −4.67331 + 0.200476i −0.178950 + 0.00767661i
\(683\) −16.1247 + 3.20740i −0.616995 + 0.122728i −0.493686 0.869640i \(-0.664351\pi\)
−0.123309 + 0.992368i \(0.539351\pi\)
\(684\) 22.8222 0.695123i 0.872629 0.0265787i
\(685\) −29.7046 + 19.8480i −1.13495 + 0.758353i
\(686\) −12.4080 + 20.4127i −0.473739 + 0.779359i
\(687\) −9.23103 + 0.652123i −0.352186 + 0.0248800i
\(688\) −20.3962 + 45.9736i −0.777599 + 1.75273i
\(689\) −26.0022 26.0022i −0.990606 0.990606i
\(690\) 7.52087 + 3.87395i 0.286315 + 0.147479i
\(691\) 9.07188 6.06164i 0.345111 0.230596i −0.370919 0.928665i \(-0.620957\pi\)
0.716030 + 0.698070i \(0.245957\pi\)
\(692\) 9.16524 + 31.6237i 0.348410 + 1.20215i
\(693\) −0.864348 2.46380i −0.0328339 0.0935920i
\(694\) −10.3177 + 11.2426i −0.391654 + 0.426762i
\(695\) 53.9486 + 22.3462i 2.04639 + 0.847641i
\(696\) −0.0226902 8.12403i −0.000860071 0.307941i
\(697\) 26.6317 11.0312i 1.00875 0.417836i
\(698\) 27.2144 + 9.92869i 1.03008 + 0.375807i
\(699\) 3.85041 1.05270i 0.145636 0.0398167i
\(700\) 8.00552 4.15192i 0.302580 0.156928i
\(701\) −3.73772 + 18.7908i −0.141172 + 0.709718i 0.843753 + 0.536732i \(0.180342\pi\)
−0.984924 + 0.172986i \(0.944658\pi\)
\(702\) 28.5313 + 25.3944i 1.07684 + 0.958451i
\(703\) 31.6715i 1.19451i
\(704\) −3.28598 + 3.71258i −0.123845 + 0.139923i
\(705\) 3.05746 + 2.65398i 0.115151 + 0.0999547i
\(706\) 3.07447 19.8745i 0.115709 0.747986i
\(707\) 22.4729 + 4.47014i 0.845182 + 0.168117i
\(708\) −2.30663 + 9.57370i −0.0866886 + 0.359802i
\(709\) 7.02265 10.5101i 0.263741 0.394717i −0.675837 0.737051i \(-0.736218\pi\)
0.939578 + 0.342335i \(0.111218\pi\)
\(710\) 7.29528 19.9962i 0.273787 0.750445i
\(711\) −22.9956 + 13.5897i −0.862402 + 0.509654i
\(712\) −0.442210 + 6.51860i −0.0165725 + 0.244295i
\(713\) −2.46173 + 5.94315i −0.0921926 + 0.222573i
\(714\) 3.08345 + 27.0745i 0.115395 + 1.01324i
\(715\) 9.05300 1.80075i 0.338563 0.0673444i
\(716\) −12.5234 43.2106i −0.468020 1.61485i
\(717\) 10.9378 + 1.38353i 0.408480 + 0.0516688i
\(718\) −33.8798 + 8.26300i −1.26438 + 0.308373i
\(719\) −11.6684 + 11.6684i −0.435158 + 0.435158i −0.890379 0.455221i \(-0.849560\pi\)
0.455221 + 0.890379i \(0.349560\pi\)
\(720\) −34.1535 + 3.98632i −1.27282 + 0.148561i
\(721\) 13.9971 + 13.9971i 0.521281 + 0.521281i
\(722\) 5.46037 + 3.31913i 0.203214 + 0.123525i
\(723\) 4.54073 35.8979i 0.168872 1.33506i
\(724\) −1.25154 + 11.2691i −0.0465131 + 0.418813i
\(725\) −1.03875 5.22215i −0.0385782 0.193946i
\(726\) −20.3499 16.1886i −0.755254 0.600815i
\(727\) −9.27932 3.84362i −0.344151 0.142552i 0.203912 0.978989i \(-0.434634\pi\)
−0.548063 + 0.836437i \(0.684634\pi\)
\(728\) −10.2823 17.9037i −0.381086 0.663556i
\(729\) −18.5015 + 19.6646i −0.685239 + 0.728318i
\(730\) 9.94894 4.63005i 0.368227 0.171366i
\(731\) −82.8160 55.3359i −3.06306 2.04667i
\(732\) 11.2294 1.76925i 0.415049 0.0653933i
\(733\) 0.693371 3.48581i 0.0256102 0.128751i −0.965865 0.259045i \(-0.916592\pi\)
0.991475 + 0.130294i \(0.0415921\pi\)
\(734\) −13.6089 18.5899i −0.502315 0.686166i
\(735\) 16.3574 18.8442i 0.603351 0.695078i
\(736\) 2.72227 + 6.25128i 0.100344 + 0.230425i
\(737\) 3.28169 0.120883
\(738\) −10.7805 11.0517i −0.396834 0.406818i
\(739\) −31.8013 6.32567i −1.16983 0.232694i −0.428315 0.903630i \(-0.640892\pi\)
−0.741515 + 0.670936i \(0.765892\pi\)
\(740\) −4.08461 47.5208i −0.150153 1.74690i
\(741\) −9.03504 33.0471i −0.331910 1.21402i
\(742\) −12.7389 + 5.92843i −0.467659 + 0.217640i
\(743\) 9.13394 + 22.0513i 0.335092 + 0.808983i 0.998172 + 0.0604348i \(0.0192487\pi\)
−0.663080 + 0.748548i \(0.730751\pi\)
\(744\) −5.17244 25.6293i −0.189631 0.939615i
\(745\) −4.33306 + 10.4609i −0.158751 + 0.383259i
\(746\) −6.46828 + 0.277476i −0.236821 + 0.0101591i
\(747\) 11.9494 + 34.0615i 0.437206 + 1.24624i
\(748\) −6.13394 7.66662i −0.224279 0.280319i
\(749\) 2.54349 + 3.80660i 0.0929371 + 0.139090i
\(750\) 11.9608 3.82805i 0.436746 0.139781i
\(751\) 6.00701 6.00701i 0.219199 0.219199i −0.588962 0.808161i \(-0.700463\pi\)
0.808161 + 0.588962i \(0.200463\pi\)
\(752\) 0.556826 + 3.21516i 0.0203054 + 0.117245i
\(753\) 2.04666 + 28.9713i 0.0745846 + 1.05577i
\(754\) −11.8428 + 2.88835i −0.431288 + 0.105188i
\(755\) 10.1224 + 15.1493i 0.368392 + 0.551338i
\(756\) 12.8519 6.91585i 0.467420 0.251527i
\(757\) −3.70500 18.6263i −0.134660 0.676983i −0.987853 0.155388i \(-0.950337\pi\)
0.853193 0.521595i \(-0.174663\pi\)
\(758\) −5.92957 + 6.46110i −0.215372 + 0.234678i
\(759\) 1.15746 0.578123i 0.0420133 0.0209845i
\(760\) 27.6302 + 13.7043i 1.00225 + 0.497107i
\(761\) 13.2497 + 31.9875i 0.480300 + 1.15955i 0.959467 + 0.281822i \(0.0909388\pi\)
−0.479167 + 0.877724i \(0.659061\pi\)
\(762\) −10.5819 + 5.86499i −0.383342 + 0.212466i
\(763\) −13.2326 8.84173i −0.479052 0.320092i
\(764\) 39.2009 + 12.4257i 1.41824 + 0.449545i
\(765\) 3.76338 67.9912i 0.136065 2.45823i
\(766\) −3.35247 + 21.6716i −0.121130 + 0.783025i
\(767\) 14.7761 0.533534
\(768\) −23.3576 14.9138i −0.842846 0.538155i
\(769\) 44.6907 1.61159 0.805794 0.592196i \(-0.201739\pi\)
0.805794 + 0.592196i \(0.201739\pi\)
\(770\) 0.539181 3.48546i 0.0194307 0.125607i
\(771\) 11.4139 + 14.7196i 0.411063 + 0.530113i
\(772\) −27.3265 8.66178i −0.983501 0.311744i
\(773\) 16.5914 + 11.0860i 0.596751 + 0.398736i 0.816941 0.576721i